STANDARD Physics Moment of Inertia MCQ Question
Two identical spherical balls of mass M and radius R each are stuck on two ends of a rod of length 2R and mass M (see figure). The moment of inertia of the system about the axis passing perpendicularly through the centre of the rod is
209/15 MR²
137/15 MR²
152/15 MR²
17/15 MR²
Correct Answer
Detailed Explanation
The moment of inertia of the rod about its center is (1/12)MR². Each ball contributes (2/5)MR² when using the parallel axis theorem. Adding these gives the total moment of inertia as 137/15 MR².
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